{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 线性回归的从零开始实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import torch\n",
    "from IPython import display\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_inputs = 2\n",
    "num_examples = 1000\n",
    "true_w = [2, -3.4]\n",
    "true_b = 4.2\n",
    "features = torch.from_numpy(np.random.normal(0, 1, (num_examples, num_inputs)))\n",
    "labels = true_w[0] * features[:, 0] + true_w[1] * features[:, 1] + true_b\n",
    "labels += torch.from_numpy(np.random.normal(0, 0.01, size=labels.size()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([-0.3969,  0.9912], dtype=torch.float64) tensor(0.0370, dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "print(features[0], labels[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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   ],
   "source": [
    "def use_svg_display():\n",
    "    # 用矢量图显示\n",
    "    display.set_matplotlib_formats('svg')\n",
    "\n",
    "def set_figsize(figsize=(4.5, 3.5)):\n",
    "    use_svg_display()\n",
    "    # 设置图的尺寸\n",
    "    plt.rcParams['figure.figsize'] = figsize\n",
    "    \n",
    "set_figsize()\n",
    "plt.scatter(features[:, 1].numpy(), labels.numpy(), 1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def data_iter(batch_size, features, labels):\n",
    "    num_examples = len(features)\n",
    "    indices = list(range(num_examples))\n",
    "    random.shuffle(indices)    # 打乱样本的读取顺序\n",
    "    for i in range(0, num_examples, batch_size):\n",
    "        j = torch.LongTensor(indices[i: min(i + batch_size, num_examples)])  \n",
    "        yield features.index_select(0, j), labels.index_select(0, j)        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-0.9038, -0.9337],\n",
      "        [-0.1461, -0.7364],\n",
      "        [-0.5767, -0.9816],\n",
      "        [ 0.5389, -1.8341],\n",
      "        [-2.0901,  0.1432],\n",
      "        [-0.9212,  0.3332],\n",
      "        [-0.1565, -0.9082],\n",
      "        [-0.7283, -0.1086],\n",
      "        [ 0.2314, -0.3642],\n",
      "        [-1.7810, -1.7437]], dtype=torch.float64) tensor([ 5.5548,  6.4066,  6.3841, 11.5127, -0.4701,  1.2184,  6.9607,  3.1185,\n",
      "         5.9146,  6.5770], dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "batch_size = 10\n",
    "\n",
    "for X, y in data_iter(batch_size, features, labels):\n",
    "    print(X, y)\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.], requires_grad=True)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w = torch.tensor(np.random.normal(0, 0.01, (num_inputs, 1)), \n",
    "                 dtype=torch.float32)\n",
    "b = torch.zeros(1, dtype=torch.float32)\n",
    "w.requires_grad_(requires_grad=True)\n",
    "b.requires_grad_(requires_grad=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def linreg(X, w, b):\n",
    "    X = X.float()\n",
    "    return torch.mm(X, w) + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def squared_loss(y_hat, y):\n",
    "    return (y_hat - y.view(y_hat.size())) ** 2 / 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sgd(params, lr, batch_size):\n",
    "    for param in params:\n",
    "        param.data -= lr * param.grad / batch_size    # 注意更改param时用param.data\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 1, loss 0.051120\n",
      "epoch 2, loss 0.000223\n",
      "epoch 3, loss 0.000051\n",
      "epoch 4, loss 0.000051\n",
      "epoch 5, loss 0.000051\n"
     ]
    }
   ],
   "source": [
    "lr = 0.03\n",
    "num_epochs = 5\n",
    "net = linreg\n",
    "loss = squared_loss\n",
    "\n",
    "for epoch in range(num_epochs):\n",
    "    for X, y in data_iter(batch_size, features, labels):\n",
    "        l = loss(net(X, w, b), y).sum()\n",
    "        l.backward()\n",
    "        sgd([w, b], lr, batch_size)\n",
    "        \n",
    "        # 不要忘了梯度清零\n",
    "        w.grad.data.zero_()\n",
    "        b.grad.data.zero_()\n",
    "    train_l = loss(net(features, w, b), labels)\n",
    "    print('epoch %d, loss %f' % (epoch+1, train_l.mean().item()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, -3.4] \n",
      " tensor([[ 1.9998],\n",
      "        [-3.4001]], requires_grad=True)\n",
      "4.2 \n",
      " tensor([4.2006], requires_grad=True)\n"
     ]
    }
   ],
   "source": [
    "print(true_w, '\\n', w)\n",
    "print(true_b, '\\n', b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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